A battery manufacturer tests its newly developed EV battery by constructing a mean chart for controlling...

A battery manufacturer tests its newly developed EV battery by constructing a mean chart for controlling the service life of a fully charged battery. The company knows from previous samples that when the service life is in control it is normally distributed with a mean of 500 hours and a standard deviation of 10 hours. On three recent production batches, the firm tested service life on random samples of four batteries, with these results: Sample Service Life (hours) 1 495 500 505 500 2 525 515 505 515 3 494 485 506 499 What is the mean of the sampling distribution of sample means when the service life is in control? 500 What is the sample mean service life for sample 3? 496 What is the standard deviation of the sampling distribution of sample means for whenever service life is in control? 5 If he uses upper and lower control limits of 505 and 495 hours, what is his risk (alpha) of concluding that service life is out of control when it is actually under control (Type I error Normal table.pdf )? 1 (Provide your answer in 0.**** format) If he uses upper and lower control limits of 505 and 495 hours, on what sample(s) (if any) does service life appear to be out of control?

Expert Solution

****Please please please LIKE THIS ANSWER, so that I can get a small benefit, Please****

keosha answered 2 months ago

A manufacturer of computers claims its newest model has a mean battery life of 10 hours,...

A manufacturer of computers claims its newest model has a mean battery life of 10 hours, although normally distributed variations in computer production will cause some units to have more or less battery life. A consumer advocacy group is concerned the true mean is less and is constructing a hypothesis test at the 95% significance level to evaluate the claim. In their testing for battery life, a sample of 25 randomly selected units gave a sample mean of ̄x25 =...

A cell phone manufacturer claims that the population mean battery life of its flagship smartphone model,...

A cell phone manufacturer claims that the population mean battery life of its flagship smartphone model, the Black Bear, is greater than the population mean battery life of the largest competitor, the Grizzly. A consumer advocacy publication tests this claim by purchasing a random sample of Black Bear smartphones and a random sample of Grizzly smartphones. Members of the publication charged each smartphone to full capacity and then had the smartphones play back the same videos until the batteries were...

What sensory tests would you apply for your newly developed product? And why?

A quality analyst wants to construct a sample mean chart for controlling a packaging process. Each...

A quality analyst wants to construct a sample mean chart for controlling a packaging process. Each day last week, he randomly selected six packages and weighed each. The data from that activity appears below. Weight (in grams) Day Package 1 Package 2 Package 3 Package 4 Package 5 Package 6 Monday 23 22 23 24 23 21 Tuesday 23 21 19 21 24 20 Wednesday 20 19 20 21 19 20 Thursday 18 19 20 19 21 22 Friday...

A quality analyst wants to construct a sample mean chart for controlling a packaging process. He...

A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each: Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19...

The manufacturer of a particular battery pack for laptop computers claims its battery pack can function...

The manufacturer of a particular battery pack for laptop computers claims its battery pack can function for 8 hours on average. A random sample of 36 batteries was selected and placed to the test. The mean functioning time before recharge was 7.2 hours. We can assume that the population stand deviation is 1.9 hours. A competitor claims this is too high. Can you perform the appropriate test of hypothesis to determine whether the competitor is correct? Testing using alpha =...

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of...

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W. The population of interest...

Please write 300-400 words Suppose a manufacturer of the XJ35 battery claims the mean life of...

Please write 300-400 words Suppose a manufacturer of the XJ35 battery claims the mean life of the battery is 500 days with a standard deviation of 25 days. You are the buyer of this battery and you think this claim is inflated. You would like to test your belief because without a good reason you can’t get out of your contract. What do you do? How do you do it? Who would you tell?

4. The normal distribution An automobile battery manufacturer offers a 39/50 warranty on its batteries. The...

4. The normal distribution An automobile battery manufacturer offers a 39/50 warranty on its batteries. The first number in the warranty code is the free-replacement period; the second number is the prorated-credit period. Under this warranty, if a battery fails within 39 months of purchase, the manufacturer replaces the battery at no charge to the consumer. If the battery fails after 39 months but within 50 months, the manufacturer provides a prorated credit toward the purchase of a new battery....

A manufacturer has developed a new fishing line, which the company claims has a mean breaking...

A manufacturer has developed a new fishing line, which the company claims has a mean breaking strength of 14.5 kilograms with a standard deviation of 0.8 kilograms. Believing the mean breaking strength is less than what company has claimed, a customer protection agency took a random sample of 40 such fishing lines and found that the mean breaking strength for this sample is 13.2 kilograms. Given the breaking strength of all such lines have a normal distribution, test whether the...

Question